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Finding the Fourth Proportional to 715.95, 986.76 and 575.82

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Solution

The fourth proportional to 715.95, 986.76 and 575.82 is: 793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.95 : 986.76 = 575.82 : x
  2. Step 2: Convert to fraction form
    715.95/986.76 = 575.82/x
  3. Step 3: Cross multiply
    715.95x = 986.76 × 575.82
  4. Step 4: Simplify right side
    715.95x = 568,196.14
  5. Step 5: Solve for x
    x = 568,196.14/715.95
  6. Step 6: Final answer
    x = 793.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.